16986240 has 128 divisors (see below), whose sum is σ = 60220800. Its totient is φ = 4525056.

The previous prime is 16986173. The next prime is 16986241. The reversal of 16986240 is 4268961.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16986195 and 16986204.

It is not an unprimeable number, because it can be changed into a prime (16986241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16789 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (470475).

Almost surely, 2^16986240 is an apocalyptic number.

16986240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110400).

16986240 is an abundant number, since it is smaller than the sum of its proper divisors (43234560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16986240 is an equidigital number, since it uses as much as digits as its factorization.

16986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16986240 is about 4121.4366427254. The cubic root of 16986240 is about 257.0587661543.

The spelling of 16986240 in words is "sixteen million, nine hundred eighty-six thousand, two hundred forty".